Magnetization process of the S = 1/2 Heisenberg antiferromagnet on the floret pentagonal lattice

Abstract

We study the S = 1/2 Heisenberg antiferromagnet on the floret pentagonal lattice by numerical diagonalization method. This system shows various behaviours that are different from that of the Cairo-pentagonal-lattice antiferromagnet. The ground-state energy without magnetic field and the magnetization process of this system are reported. Magnetization plateaux appear at one-ninth height of the saturation magnetization, at one-third height, and at seven-ninth height. The magnetization plateaux at one-third and seven-ninth heights come from interactions linking the sixfold-coordinated spin sites. A magnetization jump appears from the plateau at one-ninth height to the plateau at one-third height. Another magnetization jump is observed between the heights corresponding to the one-third and seven-ninth plateaux; however the jump is away from the two plateaux, namely, the jump is not accompanied with any magnetization plateaux. The jump is a peculiar phenomenon that has not been reported.

Numerical Study of S=1/2 Heisenberg Antiferromagnet on the Floret Pentagonal Lattice

“…In the present study, we investigate what happens when η is varied concerning the phenomena that were observed in Ref. 14. Figure 1(a) also shows the shape of finite size clusters treated in the present study.…”

“…In the case η = 1, all interactions are equivalent, when the behavior of this system was studied in Ref. 14. In that case, some nontrivial phenomena due to frustration were reported.…”

“…Recently, the floret-pentagonal-lattice (FPL) antiferromagnet was investigated [14] as the second two-dimensional case among pentagonal lattices. The FPL Heisenberg antferromagnet shows magnetization plateaux in its magnetization process at one-ninth, one-third, and seven-ninth of the saturation magnetization.…”

Corrigendum: Magnetization process of the S = 1/2 Heisenberg antiferromagnet on the floret pentagonal lattice (2021 J. Phys. Commun. 5 125008)

“…In figure 8 of [1], we have found an inconsistent way of plotting between the main panel and the inset of this figure. The plot of the inset is carried out with respect to the ordinate by the difference between magnetic fields in units of J 1 .…”

“…Note here that the replacement of this figure does not affect the observed characteristics in the behaviour of the width of the finite-size magnetization process. Therefore, the conclusions of [1] do not change after the replacement. Figure 8.…”